In accordance with the requirements of citation databases, proper citation of publications appearing in our Quarterly should include the full name of the journal in Polish and English without Polish diacritical marks, i.e. "Eksploatacja i Niezawodnosc – Maintenance and Reliability".

Task „Implementation of procedures ensuring the originality of scientific papers published in the quarterly „Eksploatacja i Niezawodność – Maintenance and Reliability” financed under contract 532/P-DUN/2018 from the funds of the Minister of Science and Higher Education for science dissemination activities.

The estimation of the reliability of the fi rst daily diesel engine start-up during its operation in the vehicle

This article presents the mathematical model of the course of the diesel engine start-up which is worked out by the authors. The analysis of the course of the changes of the engine crankshaft angular velocity, as well as of the current consumed by the starter at the stage of meshing the starter with the crankshaft fl ywheel allows to enumerate some characteristic stages and to reduce the continuous space of the real start-up process to the fi nite set in the course of the engine start-up. The general model can be used to describe the course of the fi rst daily engine start-up. The authors accept the assumption, that the probability that the object will occur in the future in the defi nite state depends only on the state in which the object is at present. The homogeneous continuous time Markov process can be used for the mathematical description. In the next part of the article the authors show the manner of determination of the transition intensity matrix of this process basing on the empirical research of the vehicle diesel engine start-ups. Furthermore the solutions of the Chapman-Kolmogorov equations, which can allow to estimate the probability of the successful fi rst daily engine start-up after the defi nite time of its duration, are shown in the paper. In the summary the directions of the evolution of the presented model and the possibility of its practical apply in the vehicle engine diagnosis are mentioned.

Two probabilistic life-cycle maintenance models for the deteriorating pavement

Pavement maintenance management poses a significant challenge for highway agencies in terms of pavement deterioration over time and limited financial resources to keep the road condition at an acceptable level. In this paper two probabilistic maintenance models are proposed and compared for pavement deterioration and maintenance processes to evaluate different maintenance strategies. Firstly, the states of pavement condition are defined using the features of different pavement maintenance works, instead of using the traditional method of cumulative service index rating. Secondly, a Markovian model is presented to describe the pavement deterioration and maintenance process with some constraints on the number of interventions, the effect of interventions and etc. But for the complex scenarios, such as non-Markovian deterioration, dependencies between the different types of interventions and the usage of emergency maintenance for roads when the required budget for maintenance is unavailable, a simulation-based Petri-net model is built up to investigate the whole life-cycle evolution. Two examples are used to illustrate and compare the proposed models to demonstrate the merits and disadvantages of each model and its applicable conditions.